Solving fractional partial differential equations with corrected Fourier series method
The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described i...
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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Publishing Corporation
2014
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Online Access: | http://psasir.upm.edu.my/id/eprint/35414/1/Solving%20Fractional%20Partial%20Differential%20Equations%20with%20Corrected.pdf http://psasir.upm.edu.my/id/eprint/35414/ http://www.hindawi.com/journals/aaa/2014/958931/abs/ |
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Summary: | The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described in Riemann sense. Some numerical examples are presented to show the solutions. |
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